2097727632 has 720 divisors, whose sum is σ = 8404323200. Its totient is φ = 502951680.

The previous prime is 2097727613. The next prime is 2097727633. The reversal of 2097727632 is 2367277902.

2097727632 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 7 + 2 + 7 + 632 = 666.

It is a super-2 number, since 2×2097727632² = 8800922436112654848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2097727633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161363658 + ... + 161363670.

Almost surely, 2^2097727632 is an apocalyptic number.

2097727632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097727632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202161600).

2097727632 is an abundant number, since it is smaller than the sum of its proper divisors (6306595568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2097727632 is a wasteful number, since it uses less digits than its factorization.

2097727632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 2097727632 is about 45800.9566712312. The cubic root of 2097727632 is about 1280.1171019167.

The spelling of 2097727632 in words is "two billion, ninety-seven million, seven hundred twenty-seven thousand, six hundred thirty-two".